{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:19:11Z","timestamp":1758824351113,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In 2007, Levstein and Maldonado\u00a0 computed the Terwilliger algebra of\u00a0the Johnson graph $J(n,m)$ when $3m\\leq n$. It is well known that\u00a0the halved graphs of the incidence graph $J(n,m,m+1)$ of Johnson\u00a0geometry are Johnson graphs. In this paper, we determine the\u00a0Terwilliger algebra of $J(n,m,m+1)$ when $3m\\leq n$, give two\u00a0bases of this algebra, and calculate its dimension.<\/jats:p>","DOI":"10.37236\/3751","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:13:14Z","timestamp":1578687194000},"source":"Crossref","is-referenced-by-count":7,"title":["The Terwilliger Algebra of the Incidence Graphs of Johnson Geometry"],"prefix":"10.37236","volume":"20","author":[{"given":"Qian","family":"Kong","sequence":"first","affiliation":[]},{"given":"Benjian","family":"Lv","sequence":"additional","affiliation":[]},{"given":"Kaishun","family":"Wang","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,10,21]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p5\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T06:11:58Z","timestamp":1579241518000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i4p5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,21]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2013,10,14]]}},"URL":"https:\/\/doi.org\/10.37236\/3751","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,10,21]]},"article-number":"P5"}}